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Simplifying -7(n + -4) + 2(n + 1) = 0 Reorder the terms: -7(-4 + n) + 2(n + 1) = 0 (-4 * -7 + n * -7) + 2(n + 1) = 0 (28 + -7n) + 2(n + 1) = 0 Reorder the terms: 28 + -7n + 2(1 + n) = 0 28 + -7n + (1 * 2 + n * 2) = 0 28 + -7n + (2 + 2n) = 0 Reorder the terms: 28 + 2 + -7n + 2n = 0 Combine like terms: 28 + 2 = 30 30 + -7n + 2n = 0 Combine like terms: -7n + 2n = -5n 30 + -5n = 0 Solving 30 + -5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -5n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5n = 0 + -30 -5n = 0 + -30 Combine like terms: 0 + -30 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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